Unofficial Skyrim Special Edition Patch

Hello,

I encountered a problem in my game that keeps on happening even after taking off all of the mods that might have a relation to it. I have a few mods for the college of Winterhold, and some related to magic :

-Magical College of Winterhold
-Magical Staves and Staffs (I think it's possibly this one, but I'm not sure, since the first time I finished the quest in a previous game, it was installed)
-more college students.esp

Those are the mods that I think might have "triggered" this glitch (the other mods I have are only houses and graphics stuff). The problem is : after deleting them (but keeping them in mind, to add them later on after finishing the College questline), I still have the same problem that persist.
After killing Morokei, I loot his body and pick up the staff ; however, the staff disappear. There's nothing in my hand (even tho it's "shaped" like its holding something, except it's empty) and I can't use it in any way, it's not in my inventory either. Worse, the game doesn't even registrer the fact I picked it up either for some reason, so it's nowhere, not on the ground, not in Morokei inventory, or not in my inventory and the quest doesn't finish (stuck permanently at the "Pick up the Staff of Magnus". The bug kept going even after starting a new game (two, actually) and I stopped playing for a couple of weeks.

It's the only thing keeping me from finishing the College Questline and it's really annoying.
I've heard some had the same bug as me at one point, so, it might not be totally mod related. That's why I'm filling this form, hopefully it's something that can be fixed.